Question: Let be a normal operator on a finite-dimensional complex inner product space . Consider spectral decomposition and prove that is invertible if and only if for .

Any pointers would be helpful - I am unable to begin currently.

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- Dec 3rd 2009, 07:12 PMLast_SingularitySpectral decomposition and invertibility
Question: Let be a normal operator on a finite-dimensional complex inner product space . Consider spectral decomposition and prove that is invertible if and only if for .

Any pointers would be helpful - I am unable to begin currently. - Dec 3rd 2009, 07:19 PMtonio